Definition and algebra of groups. Rotation group. Group representations. Character tables, basis functions. Direct product of groups, Clebsch-Gordan coefficients, Wigner-Eckart theorem. The group of the Schroedinger equation. Crystallographic point groups and space groups. Macroscopic properties and crystal symmetry, Neumann s principle. Tensorial properties of materials and connection to symmetry groups. Predictions of properties and implications of symmetry in Materials Physics. Time reversal and magnetic groups. The Lie algebra of SU
groups. Exponential matrix function, applications to SU(2) and SU(3). Representations and products of SU. Other Lie algebras. Introduction to symmetries of elementary particles.
- Teacher: Νικόλαος Ήργες
ECTS : 5
Language : el